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Finding the Third Proportional to 2,914,574 and 4,075,696

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Solution

The third proportional to 2,914,574 and 4,075,696 is: 5,699,391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914,574 : 4,075,696 = 4,075,696 : x
  2. Step 2: Convert to fraction form
    2,914,574/4,075,696 = 4,075,696/x
  3. Step 3: Cross multiply
    2,914,574x = 4,075,696 × 4,075,696
  4. Step 4: Simplify right side
    2,914,574x = 16,611,297,884,416
  5. Step 5: Solve for x
    x = 16,611,297,884,416/2,914,574
  6. Step 6: Final answer
    x = 5,699,391.36

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.